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Efficient implementation of the localized orthogonal decomposition method
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DOI：10.1016/j.cma.2019.02.040.png)
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Abstract
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In this paper we present algorithms for an efficient implementation of the Localized Orthogonal Decomposition method (LOD). The LOD is a multiscale method for the numerical simulation of partial differential equations with a continuum of inseparable scales. We show how the method can be implemented in a fairly standard Finite Element framework and discuss its realization for different types of problems, such as linear elliptic problems with rough coefficients and linear eigenvalue problems. (C) 2019 Elsevier B.V. All rights reserved.
Keywords:
Multiscale methods
Multiscale finite elements
Localized orthogonal decomposition
Efficient numerical solvers
Subscale correction methods
Linear solvers
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